An isosceles right triangle is a right triangle with congruent legs. If the length of each leg is represented by x, what algebraic expression can be used to represent the length of the hypotenuse?

Answers

Answer 1
Answer:

The algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression are used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

  • Identify all the factors of the expression.
  • Assume a variable for the changing values.
  • Put a coefficient for the variable, if there is any rate of change of variable.
  • Use constant numbers for the fixed values.

An isosceles right triangle is a right triangle with congruent legs. The length of each leg is represented byx.

According to the Pythagoras theorem says that in a right angle triangle, the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

Let suppose the length of the hypotenuse is h. Thus, the algebraic expression can be used to represent the length of the hypotenuse is,

h^2=x^2+x^2\n\h=√(x^2+x^2)\nh=√(2x^2)\nh=x√(2)

Hence, the algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.

Learn more about the algebraicexpression here;

brainly.com/question/2164351

Answer 2
Answer: right triangle means Pythagorean theorem!
a^2+b^2=c^2
if each leg (a and b) = x, then
x^2+x^2=c^2
2x^2=c^2
solving for c by taking the square root of both sides leaves

c=x×sqrt(2)

c must be positive since its a length, so no need for a +- I. this case

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The scale drawing of a swimming pool measures 2 inches by 3 inches. On the drawing .25 inches =3feet. What actual dimensions of a pool?

Answers

The answer would be 24 feet by 36 feet, because .25 goes into 2, 8 times. 8 • 3 = 24. .25 goes into 3, 12 times. 12 • 3 = 36. Therefore the answer is 24 ft by 36 ft

Please help will give brainliest! 9 + m; m = 1.5
evaluate each expression for the given value(s) of the variable(s).

Answers

Answer:

10.5

Step-by-step explanation:

9 + 1.5 = 10.5

Solve the inequality

Answers

4x - 2 > 12 - 2x

6x - 2 > 12

6x > 14

x > 14/6

x > 7/3

8(1/2x-1/4) > 12 - 2x
4x - 2 = 12 - 2x
4x+2x=12 + 2
6x = 14
X = 7/3 or 2 1/3

What is 1/5 of 45? please help my 10 yr. Old.

Answers

Answer:
9

Explanation:
To get the fraction of a number, you will simply multiply the fraction by the given number.

For the given, we want to find 
(1)/(5) of 45.
This can be computed as follows:
(1)/(5) of 45 = (1)/(5) * 45

(1*45)/(5)

(45)/(5)

= 9

Therefore, 
(1)/(5) of 45 is 9

Hope this helps :)

The product of the numbers 1/5 and 45 will be 9.

Given that:

Numbers, 1/5 and 45

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The product of the numbers 1/5 and 45 will be calculated as,

⇒ 45 x 1/5

⇒ 45 / 5

⇒ 9

More about the multiplication link is given below.

brainly.com/question/19943359

#SPJ6

What operation can you use to solve the equation? Explain. x + 8 = 4 A. Addition; addition is the opposite of subtraction. B. Subtraction; subtraction is the opposite of addition. C. Addition; the equation has a plus sign. D. Division; division gets the variable alone on the left side.

Answers

B. Subtraction; subtraction is the opposite of addition (to cancel out the 8)

How many ounces are equivalent to 25 pounds?

Answers

since a pound is 16 ounces multiply 16 and 25 to get 400 ounces. A pound is 400 ounces
400 ounces is equivalent to 25 pounds because 16 times 25 gives you 400